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A solid sphere is set into motion on a r...

A solid sphere is set into motion on a rough horizontal surface with a linear velocity v in the forward direction and an angular velocity v/R in the anticlockwise direction as shown in the figure. Find the linear speed of the sphere, when it stops rotating.

A

`(v)/(5)`

B

`(v)/(7)`

C

`(3v)/(5)`

D

`(3v)/(7)`

Text Solution

Verified by Experts

The correct Answer is:
C

`mvR - (2)/(5) mR^(2) (v//R)`
`= mvR`
`v = 3u//5`
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